Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

481×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

18.0ms

(* (+ x y) (+ x y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ x y) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.8b	(pow (cbrt (+ x y)) 4)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
9.0ms	(pow (cbrt (+ x y)) 4)

series658.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))
145.0ms	(cbrt (+ x y))
240.0ms	(pow (cbrt (+ x y)) 4)

simplify130.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	230	413
1	767	383
2	3038	365
3	5002	363

prune239.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y y))
0.2b	(* (- (* x x) (* y y)) (+ x y))
18.9b	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip-+`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
20.0ms	(* (- (* x x) (* y y)) (+ x y))
12.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x x) (* y y))
46.0ms	(* (- (* x x) (* y y)) (+ x y))
49.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

simplify93.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	454	766
1	2673	672
2	5003	661

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
739×	`flip3--` `flip--`
738×	`flip3-+` `flip-+`
728×	`associate-/l/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 816

Calls

4 calls:

120.0ms	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
6.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
6.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
7.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
158.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
161.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
166.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))

simplify249.0ms

Algorithm

egg-herbie

Counts

828 → 828

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	3248	21753
1	5002	21487

prune6.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	5	3

end0.0ms

sample445.0ms

Algorithm

intervals

Results

217.0ms

14266×

body

valid